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About: Quasi-Frobenius Lie algebra     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatLieAlgebrasyago:Abstraction100002137yago:Algebra106012726yago:Cognition100023271yago:Content105809192yago:Discipline105996646yago:KnowledgeDomain105999266yago:Mathematics106000644yago:PsychologicalFeature100023100yago:PureMathematics106003682yago:Science105999797 New Facet based on Instances of this Class

In mathematics, a quasi-Frobenius Lie algebra over a field is a Lie algebra equipped with a nondegenerate skew-symmetric bilinear form , which is a Lie algebra 2- of with values in . In other words, for all , , in . If is a coboundary, which means that there exists a linear form such that then is called a Frobenius Lie algebra.